﻿using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using V = Science.Mathematics.VectorCalculus;

namespace VectorCalculus5Ed.Chapter5.Section4
{
    public class Example01
    {
        public Example01()
		{
		}
		private string result;
		public string Result
		{
			get{return result;}
		}
        public void Compute()
        {
            V.Function.ToLastType<double[], double> f
                = new V.Function.ToLastType<double[], double>(func);
            double[] from = { 0.0, 0.0 };
            double[] to = { 5.0, 5.0 };
            V.IntegrationMultiD obj = new V.IntegrationMultiD(f, from, to);
            obj.Compute();
            result += obj.BestEstimation.ToString() + "\r\n";
            obj.NumberOfCall = 10000000;
            obj.Compute();
            result += obj.BestEstimation.ToString() + "\r\n";
            double a = 2.0 * 5.0 * 5.0 * 5.0 / 3.0;
            result += a.ToString() + "\r\n";
        }
        private double func(double[] x)
        {
            double a = Math.Sqrt(5.0 * 5.0 - x[0] * x[0]);
            if (x[1] > a) return 0.0;
            else return Math.Sqrt(5.0 * 5.0 - x[1] * x[1]);
        }
    }
}
/* 
83.3287757452981
83.3334538228697
83.3333333333333
*/

